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Differentiate w.r.t. x
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\frac{5}{2}\times 7x^{\frac{5}{2}-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{35}{2}x^{\frac{5}{2}-1}
Multiply \frac{5}{2} times 7.
\frac{35}{2}x^{\frac{3}{2}}
Subtract 1 from \frac{5}{2}.